This is a character who has to do everything according to precise schedule, every day of their lives. You could set your watch by them. This is often portrayed as being unhealthy and/or tied in with some kind of mental condition. Obviously, watching someone go about things the same way for the entire story would get very dull, so the plot generally forces them to break this schedule at some point. Obsessively Organized characters can get very stressed when someone messes with their schedule.
See also Clock King, someone who knows not only their own schedule but also everyone else's. Compare Obsessed Are the Listmakers, where a character shows fanaticism towards some other organized list, or Clockwork Prediction, where a character can predict what will happen and when due to knowing someone or something well enough.
Schedule Fanatic has been suggested to play 1 roles. Click below to see other actors suggested for each role, and vote for who you think would play the role best.